Question

An object in simple harmonic motion is oscillating about the origin on the x-axis. At time t = 0 It is located at x = 5 cm, and is moving to the left. If its maximum oscillation amplitude A is 10 cm, what is the value of the phase constant ϕ₀?

Answer 1

let's use the standard equation of simple harmonic motion

put t= 0

we get

given x(0) = 5

A=10

so

Now

We know that

Now given that at t= 0 v is -ve

That means

now solving these two equations

We get

i.e

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